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Small doubling in $m$-Engel groups | ||
International Journal of Group Theory | ||
مقاله 5، دوره 9، شماره 4، اسفند 2020، صفحه 277-291 اصل مقاله (242.89 K) | ||
نوع مقاله: Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2020.121125.1595 | ||
نویسندگان | ||
Patrizia Longobardi1؛ Mercede Maj* 2 | ||
1Department of Mathematics, University of Salerno | ||
2University of Salerno | ||
چکیده | ||
We study some inverse problems of small doubling type in the class of $m$-Engel groups. In particular we investigate the structure of a finite subset $S$ of a torsion-free $m$-Engel group if $|S^2| = 2|S|+b$, where $0 \leq b \leq |S|-4$, for some values of $b$. | ||
کلیدواژهها | ||
Direct and inverse problems. Small doubling | ||
مراجع | ||
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